33 citations · 157 across the 28 of their papers we have counts for
30 papers
Moving Frames for Lie Pseudo-groups: A Recursive Implementation
Peter J. Olver, Francis Valiquette
A new recursive implementation of the equivariant moving frame method for infinite-dimensional Lie pseudo-group actions is presented. It allows pseudo-group normalizations to be pe…
Convergence of Normal Form Power Series for Infinite-Dimensional Lie Pseudo-Group Actions
Peter J. Olver, Masoud Sabzevari, Francis Valiquette
We prove the convergence of normal form power series for suitably nonsingular analytic submanifolds under a broad class of infinite-dimensional Lie pseudo-group actions. Our theore…
Continuous Revival of the Periodic Schrödinger Equation with Piecewise Potentials
Dinh-Quan Tran, Peter J. Olver
In this paper, we investigate the revivals of the one-dimensional periodic Schrödinger equation with a piecewise potential function. As has been observed through numerical si…
New Revival Phenomena for Bidirectional Dispersive Hyperbolic Equations
George Farmakis, Jing Kang, Peter J. Olver +2
In this paper, the dispersive revival and fractalization phenomena for bidirectional dispersive equations on a bounded interval subject to periodic boundary conditions and disconti…
Use and Misuse of Machine Learning in Anthropology
Jeff Calder, Reed Coil, Annie Melton +3
Machine learning (ML), being now widely accessible to the research community at large, has fostered a proliferation of new and striking applications of these emergent mathematical…
Using machine learning on new feature sets extracted from 3D models of broken animal bones to classify fragments according to break agent
Katrina Yezzi-Woodley, Alexander Terwilliger, Jiafeng Li +4
Distinguishing agents of bone modification at paleoanthropological sites is at the root of much of the research directed at understanding early hominin exploitation of large animal…